Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'A Puzzle Concerning Matter and Form' and 'Lectures on Aesthetics'

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16 ideas

3. Truth / A. Truth Problems / 2. Defining Truth
Genuine truth is the resolution of the highest contradiction [Hegel]
3. Truth / A. Truth Problems / 3. Value of Truth
What I hold true must also be part of my feelings and character [Hegel]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Arithmetical undecidability is always settled at the next stage up [Koellner]
8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence
The possible Aristotelian view that forms are real and active principles is clearly wrong [Fine,K, by Pasnau]
21. Aesthetics / A. Aesthetic Experience / 1. Aesthetics
Nineteenth century aesthetics focused on art rather than nature (thanks to Hegel) [Hegel, by Scruton]
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
Hegel largely ignores aesthetic pleasure, taste and beauty, and focuses on the meaning of artworks [Hegel, by Pinkard]
21. Aesthetics / A. Aesthetic Experience / 5. Natural Beauty
Natural beauty is unimportant, because it doesn't show human freedom [Hegel, by Pinkard]
21. Aesthetics / B. Nature of Art / 6. Art as Institution
For Hegel the importance of art concerns the culture, not the individual [Hegel, by Eldridge]
21. Aesthetics / C. Artistic Issues / 6. Value of Art
The purpose of art is to reveal to Spirit its own nature [Hegel, by Davies,S]
The main purpose of art is to express the unity of human life [Hegel]
Art forms a bridge between the sensuous world and the world of pure thought [Hegel]